Close-up of the curvelet image (Fig. 1) of the center region of the Rosette molecular cloud with the filamentary structure traced by DisPerSE, indicated with white lines. Different thresholds (called “persistence”, i.e. intensity contrast level, for filament detection were used (2.9, 1.0, 0.5 × 10²¹ cm^-2 from left to right). The curvelet image has a maximum value for the column density of 2 × 10²² cm^-2 with a sigma of 0.5 × 10²¹ and the original column density map a maximum of 9.4 × 10²² cm^-2 with a sigma of 1.4 × 10²¹.